Given numbers are 948,540,689,194,395

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 948,540,689,194,395 is 2851095780.

Find LCM of 948,540,689,194,395 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 79 x 1 x 9 x 689 x 97 x 1 = 2851095780

Therefore, the lowest common multiple of 948,540,689,194,395 is 2851095780.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

948 x 540 x 689 x 194 x 395 = 27028387994400

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

689 : 1, 13, 53, 689

194 : 1, 2, 97, 194

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,540,689,194,395, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

540:2x 2x 3x 3x 3x 5

689:13x 53

194:2x 97

395:5x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 5x 79 = 9480

Therefore, the value for common factors is 9480.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 27028387994400/(1x9480)

LCM = 27028387994400/9480

LCM = 2851095780

Thus, we can understand that the LCM of 948,540,689,194,395 is 2851095780.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 289, 805, 124, 975, 287
• LCM of 414, 114, 378, 370, 565
• LCM of 771, 530, 377, 527, 655
• LCM of 914, 890, 516, 221, 912
• LCM of 991, 941, 795, 565, 832

1. What is the LCM of 948, 540, 689, 194, 395?

Answer: LCM of 948, 540, 689, 194, 395 is 2851095780.

2. How to calculate the LCM of 948, 540, 689, 194, 395?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 948, 540, 689, 194, 395.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.